Which point is located at (6,3)? A) A B) B C) C D) E please don't guess
2 answers:
You might be interested in
Answer:
a) 0.31 = 31%
b) 0.03 = 3%
c) 0.36 = 36%
d) 2 times
Step-by-step explanation:
If is the cumulative distribution function of the random variable X, then by definition the probability P of the random variable is given by
If additionally the random variable is discrete (only has non-negative integers as outcomes as is the case in this problem) then
a)
We are looking for P(X<2)
b)
In this case we want P(X>3)
c)
Now, we are interested in P(X=1)
d)
The expected number of times that the process is recalibrated during the week is the expected value of the probability distribution:
P(X=1)+2P(X=2)+...+nP(X=n)+...
But it is easy to see that P(X=n) = 0 if n is an integer >4
So, the expected value is
P(X=1)+2P(X=2)+3P(X=3)+4P(X=4)
We already have P(X=1) and P(X=2). Let's compute the rest
and the expected value is
0.36 + 2*0.53+3*0.13+4*0.03= 1.93 = 2 times rounding to the nearest integer.
ANSWER
Find out the what is the range of ink cartridges he can buy and still have enough money left over for the reams of paper.
To proof
let us assume that the number of the ink cartridges buy be x.
As given
Carlos monthly office supply budget is $250.
He needs to buy ink cartridges which cost $40 a piece.
He will need to save at least $50 of his budget for reams of paper.
than the inequality is written in the form
x ≤ 5
the range of the ink cartridges he can buy be 0 ≤ x ≤ 5 when he saves
at least $50 of his budget for reams of paper.
Hence proved
For the first one use the slope formula: 
So for you that would look like this:
For number 2, in order for a slope to be 0, it has to be a completely horizontal line with no steepness whatsoever. That can ONLY happen with lines that are "y=some constant with no x". So that answer has to be y = -5. For that last one, we have to use the slope-intercept form of a line and use the point they give us along with the slope to find the y-intercept, or the "b". That looks like this for us:
so b= 5/6. So our equation, fitting the slope and y intercept back in, gives us 
So for you that would look like this:
For number 2, in order for a slope to be 0, it has to be a completely horizontal line with no steepness whatsoever. That can ONLY happen with lines that are "y=some constant with no x". So that answer has to be y = -5. For that last one, we have to use the slope-intercept form of a line and use the point they give us along with the slope to find the y-intercept, or the "b". That looks like this for us: